What is the answer to |5x+3|=12 ?

The answer to |5x+3|=12 is x=-3\lor x= 9/5

Solve for x: |5x+3|=12

The solution is x=-3\lor x= 9/5

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∣ 5 x + 3 ∣ = 12

x = - 3 or x = \frac{9}{5}

Decimal Notation

x = - 3, x = 1.8

Solution steps

∣ 5 x + 3 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 3 = - 12 or 5 x + 3 = 12

5 x + 3 = - 12 or 5 x + 3 = 12

x = - 3 or x = \frac{9}{5}

b (- 10) = ∣ x + 4 ∣

∣ - 3 x - 8 ∣ = 1

3 x - \frac{2}{7} = 5

∣ 4 x + 7 ∣ - 2 = 18

- 3 ∣ x + 6 ∣ = - 21